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While the Scottish side were picking up two points with a 13-13 draw in Montpellier, where Leinster had drawn in Round 1, Glasgow heard news of Leinster's 52-27 destruction of Bath Rugby at the Aviva Stadium, Dublin, as they were getting onto their plane.
The results meant the Heineken Cup holders have built up a five point advantage over their nearest rivals in the Pool - a gap Munro says his team are seeking to slash at 'Fortress Firhill' in Round 5 in the New Year.
"If this game in Montpellier was supposed to be the biggest game in the history of Glasgow Warriors, then the round 5 fixture against Leinster is bound to be because we will have to beat the European champions to stand any chance of winning the Pool," said Munro.
"We've already beaten them in the league this season, and have upset them at 'Fortress Firhill' in the past, so we have to believe we can do it again. Reaching the quarter-finals is still very much a target for us and we will be looking forward to taking on Leinster in what is going to be a fantastic fixture for us and Scottish rugby.
"The players all showed incredible heart and determination in Montpellier and we were very disappointed with the draw. We started badly and that is something we are going to have to look at.
"But we came back strongly and we felt we could have won the game. A draw in France isn't a bad thing and we still think we are in the mix in terms of qualification."
A last minute penalty miss from the home side let Glasgow off the hook, but a share of the points was nothing less that the battling Warriors deserved according to their forwards coach.
"The players are refusing to lie down and we are building a reputation of being a difficult team to play against and visit. I like that," added Munro.
"When their kicker was coming up to take that final shot at goal to win the game we were trying to look at the replay to see who had given away the penalty. Then we noticed he was taking his time and we wondered what was going to happen.
"He was a right footed kicker and it was on his wrong side, but it was only on the 15 metre line. Ordinarily we would have expected him to kick it, even though we were willing him to miss.
"Thankfully, he lost it, missed and we got a draw. Even though that was a bit of a let off we are all disappointed not to have won."
